Scalar Values and Physical-State Representation in the EAS Scalar Fields: Phase II and the Source-Conditioned Charged Sector

This paper is archived as a speculative research work.Phase II of the Entanglement–Algebraic Spacetime (EAS) Scalar Fields (SFs) develops scalar value as SF-native content from which qualified physical-state representations can be built. The starting point is deliberately non-geometric: defined scalar registrations carry scalar value, scalar value is exactly conserved under admitted SF relational reorganization, and second-order ordering (SOO) acts by exact transposition on the active bilateral scalar pair. These statements supply exact relational state data—binary scalar differences, common-scope closed-cycle identities, and phase-indexed rank-3 scalar-difference records—without introducing primitive metric, differential, Laplace, action, or superposition structure. Closed-cycle exactness is asserted only when a certified common correspondence scope identifies the incoming and outgoing scalar registrations at every shared vertex. For the certified source-conditioned sector, the previously established three-channel radial organization has cumulative relational extent E_R(L)=3L and normalized radial report _R(L)=1/L at finite represented depth L≥q1. Phase II now resolves the required scalar provenance on the explicitly provenance-resolved sector R_ prov: exact SOO-generated handoffs and the certified successive-SF scalar-successor rule preserve each tracked source contribution along its qualified radial role. The resulting conserved numerator gives Φ_ (L)=A/L and the exact successive-depth difference -A/[L(L+1)]. Under a separately qualified spatial interface, these discrete records admit the standard static Q/R scalar-potential representation, its -Q/R^2 radial derivative, and the corresponding harmonic representative. A logically independent conditioned-recurrence/infraparticle (CR-IP) branch establishes actual source-associated exterior participation and continuation to every selected finite depth, with qualified Coulomb/Gauss and Buchholz/Haag interface correspondences at their stated ceilings. On the common qualified charged-source, Type-I, relational-accommodation-kinematics, spatial/Lorentz, and electromagnetic-interface domains, those source structures also admit the certified retarded electromagnetic continuation. Realized SF accommodation records supply represented source velocity and, where the local-limit and differentiability gates hold, acceleration. The post-freeze PII-KO1 registration additionally identifies the KRE and O1A accommodation indicators as reports of the same global accommodation event when they refer to the same binary context, phase, and aligned occurrence scope. Under the full PII-KO1-A antecedent package—including a coherent autonomous recurrent reference state, a matched accelerated record anchored by _j(t_0)= _j^(0), retention of the other two reference streams, the orientation-stable sector KO1S_j(I_ acc)=1, and nonzero d _j/dt throughout the connected represented acceleration interval—the same changing accommodation record has two typed consequences: nonzero represented acceleration and loss of the original common bounded recurrence class, hence recurrence reorganization. The charged-source interface then supplies the conserved worldline current; sourced Maxwell closure gives the retarded solution and the covariant Lienard–Wiechert field, whose inverse-linear sector is radiative by finite asymptotic Poynting flux and yields the standard Lienard-power representation. These are cross-stack consequences at distinct SF/interface layers, not an identification of recurrence reorganization with a Maxwell field. Beyond that shared acceleration/reorganization node, the revised Phase-II stack also closes the stronger bound-to-free questions. PII-O1A-R supplies an explicit existential successor carrying tracked bounded-associated (+q,-q) provenance into an isolated current-definition four-point SBB/ER3C organization, while PII-O1F forces SBB classification only on its stated qualified exterior sector and organizational-exhaustion premises. Thus recurrence reorganization does not by itself imply complete detachment or SBB completion. Finally, the registered REV8–CPT-0 cross-stack corollary identifies the completed SBB's distinguished binary pair as a properly typed antecedent of the independently certified CPT-0 free-QED photon correspondence. No SBB-to-charged-worldline identification is required.